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In this paper, we consider a single BaF molecule driven by an external field. When the symmetry is broken, the states of the BaF molecule demonstrate the permanent dipole moments. An external laser field to excite BaF molecule transition from its ground state to its excited state, and a radio frequency field couple with the permanent dipole moment of the BaF. The first order and second order cumulants of the emission photons and the waiting time distribution are studied via the recently developed generating function approach, which is very convenient to study the counting statistics and the corresponding probability distributions. The results demonstrate that the radio frequency field could help the BaF molecule to absorb photons from the driving field. The second and third order waiting time distributions oscillate with the evolution time, which reflects the states oscillating with the external radio frequency field.
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Keywords:
- generating function /
- cumulants /
- waiting-time distributions
[1] Moerner W E, Kador L 1989 Phys. Rev. Lett. 62 2535
[2] Orrit M, Bernard J 1990 Phys. Rev. Lett. 65 2716
[3] Moerner W E, Orrit M 1999 Science 283 1670
[4] Plakhotnik T, Donley E A, Wild U P 1997 Annu. Rev. Phys. Chem. 48 181
[5] Barkai E, Jung Y, Silbey R 2004 Annu. Rev. Phys. Chem. 55 457
[6] Basche T, Moerner W E, Orrit M, Wild U P 1996 Single Molecule Optical Detection, Imaging and Spectroscopy (New York: VCH)
[7] Lu H P, Xun L, Xie X S 1998 Science 282 1887
[8] Xie X S 2002 J. Chem. Phys. 117 11024
[9] Weiss S 1999 Science 283 1676
[10] Jung Y, Barikai E, Silbey R J 2002 J. Chem. Phys. 117 10980
[11] Bohmer M, Enderlein J 2003 Chem. Phys. Chem. 4 792
[12] Lippitz M, Kulzer F, Orrit M 2005 Chem. Phys. Chem. 6 770
[13] Barkai E, Brown F L H, Orrit M, Yang H 2008 Theory and Evaluation of Single Molecule Signals (Singapore: World Scientific Press)
[14] Wang K, Cui L, Zhang X T, Li X Y 2013 Acta Phys. Sin. 62 164205 (in Chinese) [王堃, 崔亮, 张秀婷, 李小英 2013 物理学报 62 164205]
[15] Han W, Zhou L D, Li F Q, Wang F, Feng B, Zheng K X, Gong M L 2014 Acta Phys. Sin. 63 074204 (in Chinese) [韩伟, 周丽丹, 李富全, 王芳, 冯斌, 郑奎兴, 巩马理 2014 物理学报 63 074204]
[16] Li W F, Du J J, Wen R J, Yang P F, Li G, Zhang T C 2014 Acta Phys. Sin. 63 244205 (in Chinese) [李文芳, 杜金锦, 文瑞娟, 杨鹏飞, 李刚, 张天才 2014 物理学报 63 244205]
[17] Brown F L H 2003 Phys. Rev. Lett. 90 028302
[18] Zheng Y J, Brown F L H 2003 Phys. Rev. Lett. 90 238305
[19] Zheng Y J, Brown F L H 2003 J. Chem. Phys. 119 11814
[20] Peng Y G, Xie S J, Zheng Y J, Brown F L H 2009 J. Chem. Phys. 131 214107
[21] Peng Y G, Zheng Y J, Brown F L H 2007 J. Chem. Phys. 126 104303
[22] Zheng Y J 2008 J. Chem. Phys. 129 246102
[23] Han B P, Zheng Y J 2008 Phys. Rev. A 78 015402
[24] Zheng Y J, Brown F L H 2013 J. Chem. Phys. 139 164120
[25] Peng Y G, Zheng Y J 2013 Phys. Rev. A 88 013425
[26] Peng Y G, Zheng Y J 2014 Eur. Phys. J. D 68 290
[27] Steimle T C, Frey S, Le A 2011 Phys. Rev. A 84 012508
[28] Titov A T, Mosyagin N S, Petrov A N, Isaev T A, Demile D 2006 Prog. Theor. Chem. Phys. 15 253
[29] Berg L E, Gador N, Husain D, Ludwigs H, Royen P 1998 Chem. Phys. Lett. 287 89
[30] Lemeshko M, Krems R V, Doyle J M, Kais S 2013 Mol. Phys. 111 1648
[31] Han B P, Zheng Y J 2008 Phys. Rev. A 78 015402
[32] Han B P, Zheng Y J 2009 J. Chem. Phys. 130 244502
[33] Rozhkov I, Barkai E 2005 Phys. Rev. A 71 033810
[34] Makarov D E, Metiu H 2001 J. Chem. Phys. 115 5989
[35] van Kampen N G 2009 Stochastic Processes in Physics and Chemistry (Singapore: Elsevier)
[36] Prohorov Y V, Rozanov Y A 1969 Probability Theory (Berlin: Springer)
[37] Amoldus H F, Nienhuis G 1986 Opt. Acta 33 691
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[1] Moerner W E, Kador L 1989 Phys. Rev. Lett. 62 2535
[2] Orrit M, Bernard J 1990 Phys. Rev. Lett. 65 2716
[3] Moerner W E, Orrit M 1999 Science 283 1670
[4] Plakhotnik T, Donley E A, Wild U P 1997 Annu. Rev. Phys. Chem. 48 181
[5] Barkai E, Jung Y, Silbey R 2004 Annu. Rev. Phys. Chem. 55 457
[6] Basche T, Moerner W E, Orrit M, Wild U P 1996 Single Molecule Optical Detection, Imaging and Spectroscopy (New York: VCH)
[7] Lu H P, Xun L, Xie X S 1998 Science 282 1887
[8] Xie X S 2002 J. Chem. Phys. 117 11024
[9] Weiss S 1999 Science 283 1676
[10] Jung Y, Barikai E, Silbey R J 2002 J. Chem. Phys. 117 10980
[11] Bohmer M, Enderlein J 2003 Chem. Phys. Chem. 4 792
[12] Lippitz M, Kulzer F, Orrit M 2005 Chem. Phys. Chem. 6 770
[13] Barkai E, Brown F L H, Orrit M, Yang H 2008 Theory and Evaluation of Single Molecule Signals (Singapore: World Scientific Press)
[14] Wang K, Cui L, Zhang X T, Li X Y 2013 Acta Phys. Sin. 62 164205 (in Chinese) [王堃, 崔亮, 张秀婷, 李小英 2013 物理学报 62 164205]
[15] Han W, Zhou L D, Li F Q, Wang F, Feng B, Zheng K X, Gong M L 2014 Acta Phys. Sin. 63 074204 (in Chinese) [韩伟, 周丽丹, 李富全, 王芳, 冯斌, 郑奎兴, 巩马理 2014 物理学报 63 074204]
[16] Li W F, Du J J, Wen R J, Yang P F, Li G, Zhang T C 2014 Acta Phys. Sin. 63 244205 (in Chinese) [李文芳, 杜金锦, 文瑞娟, 杨鹏飞, 李刚, 张天才 2014 物理学报 63 244205]
[17] Brown F L H 2003 Phys. Rev. Lett. 90 028302
[18] Zheng Y J, Brown F L H 2003 Phys. Rev. Lett. 90 238305
[19] Zheng Y J, Brown F L H 2003 J. Chem. Phys. 119 11814
[20] Peng Y G, Xie S J, Zheng Y J, Brown F L H 2009 J. Chem. Phys. 131 214107
[21] Peng Y G, Zheng Y J, Brown F L H 2007 J. Chem. Phys. 126 104303
[22] Zheng Y J 2008 J. Chem. Phys. 129 246102
[23] Han B P, Zheng Y J 2008 Phys. Rev. A 78 015402
[24] Zheng Y J, Brown F L H 2013 J. Chem. Phys. 139 164120
[25] Peng Y G, Zheng Y J 2013 Phys. Rev. A 88 013425
[26] Peng Y G, Zheng Y J 2014 Eur. Phys. J. D 68 290
[27] Steimle T C, Frey S, Le A 2011 Phys. Rev. A 84 012508
[28] Titov A T, Mosyagin N S, Petrov A N, Isaev T A, Demile D 2006 Prog. Theor. Chem. Phys. 15 253
[29] Berg L E, Gador N, Husain D, Ludwigs H, Royen P 1998 Chem. Phys. Lett. 287 89
[30] Lemeshko M, Krems R V, Doyle J M, Kais S 2013 Mol. Phys. 111 1648
[31] Han B P, Zheng Y J 2008 Phys. Rev. A 78 015402
[32] Han B P, Zheng Y J 2009 J. Chem. Phys. 130 244502
[33] Rozhkov I, Barkai E 2005 Phys. Rev. A 71 033810
[34] Makarov D E, Metiu H 2001 J. Chem. Phys. 115 5989
[35] van Kampen N G 2009 Stochastic Processes in Physics and Chemistry (Singapore: Elsevier)
[36] Prohorov Y V, Rozanov Y A 1969 Probability Theory (Berlin: Springer)
[37] Amoldus H F, Nienhuis G 1986 Opt. Acta 33 691
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